Least Common Multiple of 29/440, 445/335, 284/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/440, 445/335, 284/988 quickly i.e. 3665020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/440, 445/335, 284/988 is 3665020.

LCM(29/440, 445/335, 284/988) = 3665020

LCM of 29/440, 445/335, 284/988

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 29/440,445/335,284/988

Given numbers are 29/440,445/335,284/988

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 29,445,284

Least Common Multiple of Numerators i.e. LCM of 29,445,284 is 3665020.

GCF of Denominators means GCF of 440,335,988 as per the given fractions.

GCF of 440,335,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,445,284

LCM of Fractions 29/440,445/335,284/988 is 3665020

Given numbers has no common factors except 1. So, there LCM is their product i.e 3665020

Least Common Multiple of 29,445,284 with GCF Formula

Least Common Multiple of 29,445,284 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,445,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,445,284) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,445,284) x common factors =1 x 1 = 1

LCM(29,445,284) = ( 29 × 445 × 284 ) / 1

LCM(29,445,284) = 3665020 / 1

LCM(29,445,284) = 3665020


Lets's calculate GCF of 440,335,988

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3665020/1

Therefore the LCM of Fractions 29/440,445/335,284/988 is 3665020

Greatest Common Factor of 440,335,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,335,988 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 440,335,988 . The biggest common factor number is the GCF number.
So the greatest common factor 440,335,988 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 29/440, 445/335, 284/988

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 29/440, 445/335, 284/988?

Answer: LCM of Numerators as per given numbers 29/440, 445/335, 284/988 is

LCM of Numerators i.e. for 29,445,284 is 3665020

GCF of denominators i.e. for 440,335,988 is 1.

Thus, LCM of Fractions is 3665020.Finally, LCM of Fractions for 29/440, 445/335, 284/988 is 3665020.